6005281921920 has 1024 divisors, whose sum is σ = 23118794496000. Its totient is φ = 1467653160960.

The previous prime is 6005281921913. The next prime is 6005281921957. The reversal of 6005281921920 is 291291825006.

It is a happy number.

6005281921920 is a `hidden beast` number, since 6 + 0 + 0 + 528 + 1 + 92 + 19 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1731125946 + ... + 1731129414.

It is an arithmetic number, because the mean of its divisors is an integer number (22576947750).

Almost surely, 2^{6005281921920} is an apocalyptic number.

6005281921920 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6005281921920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11559397248000).

6005281921920 is an abundant number, since it is smaller than the sum of its proper divisors (17113512574080).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

6005281921920 is a wasteful number, since it uses less digits than its factorization.

6005281921920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3668 (or 3650 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 45.

The spelling of 6005281921920 in words is "six trillion, five billion, two hundred eighty-one million, nine hundred twenty-one thousand, nine hundred twenty".